Hm; ZEN—s (DOUG) AN EXPERIMENTAL MEASURING INSTRUMENT FOR INTERNAL STRESS IN CONCRETE Thesis for 1419 Degree of M. S. MICHIGAN STATE COLLEGE WiIIIam J. Mac Creery 1950 THES‘” Date 0-169 i MICHIGAN STAT TEU ITY LIBRARI IES IIII IIIIIIIIIIIIII\IIIIIIIIIIIIIIIIIII 312 I This is to certify that the thesis entitled AN EXPERIMENTAL MEASURING INSTRULENT FOR INTERNAL STRESS IN CCNCRETE presented by NIL LIAM J. MACCREEHY has been accepted towards fulfillment of the requirements for M. S. degree in CIVIL ENGINEERING WM; Major professor __ A. / o~z4~5g AN EXPERILENTAL LEASCRING INSTRUIENT FOR INTERNAL STRESS IN CONCRETE By William J. MacCreery A THESIS Submitted to the School of Graduate Studies of Kichigan State College of Agriculture and Applied Science in partial fulfillment of the requirements for the degree of EASTER OF SCIENCE Department of Civil Engineering 1950 THESIS ACME;T C." LEDGEIEI‘J The author wishes to thank Professor Cade, Professor miller and Professor Blomquist of the Civil Engineering Department for their assistance and advice on this thesis; also the Soil Science Department for aiding in obtaining the equipment used in the experimental part of this thesis problem. .1 {PS «I "3 9 TABLE OF CONTENTS Introduction . . . . . . . . . . . Theory . . . . . . Procedure . . . . . . Testing Equipment EXperiment No. l . . . . Experiment No. 2 . . . . EXperiment No. 5 . . . . . . Experiment No. 4 . . . . . . Results. . . . . . . . . . . . . . Conclusion . . . . . . . . . . . . Bibliography . . . . . . . . . . . AN EXPERILENTAL LEASURING INSTRUKENT FOR INTERNAL STRESS IN CCECRETE Very little study has been made of the stresses in concrete during the first ten hours after mixing or to the time of final set. This thesis is an experiment designed to get a measure of these internal stresses set up and the rate at which they increase with the age of the concrete. It is generally agreed that the internal stresses are caused by the hydration of the cement and the volume changes during this period. The major concern in volume will not be the actual volume change but, rather, the causes of the change. The hydration of cement is not fully under- stood, chemically, but the author is concerned more with the physical phenomenon and the part it plays in causing internal stresses in the concrete. THEORY The first step in the measurement of internal stress in concrete is to study the causes and understand the action which produces the stress. The best way to study the causes of internal stress is to picture the formation of the internal pore structure of the concrete from the time of mix to the final set. Im- mediately after the concrete has been mixed and placed, the solid particles, including the cement particles, are in an unstable equilibrium and begin to settle. This settle- ment causes the forcing of water upward to the surface, developing a series of water channels up through the con- crete. Gradually, the larger pieces of aggregate stabil- ize by point contact or some other means and form a skeleton inside which settlement is still taking place. The mortar settlement forces more water upward, some of which lodges under the aggregate, forming water pockets. Finally between the sand grains, the cement settles out of the water-cement mixture, leaving water voids above the cement paste. This settlement, leaving water voids, makes the mixture non- homogeneous and full of little inter-connecting water passageways. The next change comes from the hydration of the cement or the forming of gel by the cement and water. The absolute volume of the cement and water apart is greater than the hydrated product, giving the first indication for cause of internal stress. As this paste hardens it decreases in volume and also uses up the_water of settlement, leaving vacuum pockets which tend to put the paste in tension. Be- fore the gel hardens sufficiently to resist these pockets, it will have plastic movement but as the gel hardens it resists the internal vacuum causing tension. The gel har- dens around the aggregate causing it to be in compression in order to resist the tension force in the hardened gel. The air in voids of the aggregate is diffused through these vacuum pockets, tending to help stabilize the mass somewhat but has very little effect on the tension because of its small amount. Some of the water is absorbed on the aggre- gate surfaces, but this amount is considered to be very small due to the total aggregate surface being so small in comparison to its bulk. As the concrete ages from the initial set when gel formed, towards the final set, the bleeding or surface water forced by settlement is used up by the hydration of the cement and disappears completely. This hydration continues inside the concrete as long as water is available up to the point where all the cement has been used. This point has been found to occur about 24 hours after initial set and does not enter into this experiment. According to the explained theory, an internal stress should begin shortly after the initial set and increase to the final set and beyond. In using this theory, the con- cretes tested should be under the same conditions of tem- perature, mixture, time of mix, and curing after testing. Two types of concrete were tested: (1) Standard Port- land cement and, (2 High Early Strength cement.. According to this theory, it is believed that the High Early Strength cement would show a faster rate of stress increase because the cement grains are finer, allowing more and faster water absorption, thus making a higher rate of hydration take place within the concrete. Two consistancies of each type were tested to see if the amount of water present would have an effect on the rate of hydration, time of starting, and the internal stress produced. The two con- sistancies used for both types were (1) mix with 2-inch - 5 - slump and a water-cement ratio of .455 and (2) a mix with an 8-inch slump and a water-cement ratio of .54. Based on the preceding, the following procedure was developed and used. PROCEDURE The first problem encountered was the development of an instrument which could be placed in the concrete and, in some way, give measurements of the stress developed. Going back to the theory of the experiment, it is recalled that the coarse aggregate was surrounded by mortar which was in tension, thus producing a compressive force to resist this tension. If this compression could be measured, it would give a measure of the internal force caused by the tension in the cement which is the cause of the inter- nal stress. Two ideas were born here - both using the compressive force of the resisting aggregate as its basis for measure- ment. 1. The idea was to embed in the concrete a small cylinder of soft metal and get a measurement of the strain which could readily be converted to stress. The cylinder was 1-1/2 inches long, 1/4 inch in diameter, with stiff wire protruding from each end out of the concrete for strain measurement. The wire was protected by a thick rubber tube which covered the end of the cylinder also, allowing pres- sure only on the body surface. As the body was compressed, the change in length was to be recorded. 2.. This idea was similar to the first, using a ball of soft metal instead of a cylinder. With some study and one experiment with the cylinder, these two ideas were quickly discarded. The concrete was - 5 - too plastic until just about final set to give an appre- ciable strain and, therefore, that type of instrument was not usable for measurement between initial and final set. The next idea, (the one used in this study) is based on the fact that a vacuum is created by the hydration of cement and water. If a measure of this pressure could be made, it would give a measure of the internal forces inside the concrete, eSpecially the tensile force in the hardened gel. The problem was to get a measure of this negative pressure. This problem was solved by an apparatus used in the Soil Science Department, called a tentiometer. The apparatus consists of: (l) a manometer with mercury, (2) a measuring device (centimeter stick), (5) plastic tubing, and (4) porcelain cup which will emit water through to a sur- rounding medium. These were purchased from a special com- pany in New Jersey. TestinggEquipment The manometer was set up on a standard and a piece of plastic tubing was fitted on the and Opposite the mercury cup. The fitting was Y-shaped so that water could be in- jected into the system through one limb while the other two ran from the manometer to the plastic tubing. The porcelain cup was attached to the other end of the tube and placed in a pail of sand. Boiled distilled water was injected into the whole system, making sure that there was no air entrapped. Lercury was put into the cup up to the "0" point on the meter stick. The whole system was made air-proof by covering _ 5 - all joints with a thick coating of rubber cement. The cup had been tested previously for porosity by applying an air pressure of 25 pounds to it while in water. The air just barely came through, thus insuring it against too much porosity. This was found by the Soil Science Department to be the best test. The cup was then placed in a container of distilled water to soak for 24 hours before use in the test. The test run with sand proved consistant with previous tests so that the equipment and experiment set-up was con- sidered ready. Experiment No. l - Standard Portland Cement - 2“ The first eXperiment was run on a Standard Portland ceaent with a 2-inch slump. Two standard test cylinders of 6-inch diameter were made, using the following quan- tities: Water 4.1 lb. Cement 9.0 lb. Fine Aggregate 20 lb. Coarse Aggregate 59 lb. W/C .455 Slump 2 inches The test equipment was set except for filling with water when the concrete was made so there was no delay. One cylinder was set near enough to the equipment so that the porcelain cup attached to the plastic tubing could be placed in the fresh concrete. The cup was placed approx- imately in the center of the test cylinder and the concrete surface smoothed. The system was then filled with the boiled distilled water and the experiment started. Boiled distilled water was used in order to make sure that there was no free oxygen in the water and also to get rid of all impurities which might hamper the passage of water through the porcelain cup. An initial reading was taken and another reading one hour later; then readings every 5 minutes for the next 4 hours. From then on, readings were taken every 10 minutes up to 15 hours. Another reading was taken at 22 hours but - 8 - vas considered void for reasons which will be eXplained later. The second cylinder was placed beside the first and then, after the test, both were placed in the moist room for curing and a 14-day test. This procedure insured both cylinders being cured alike. A curve was plotted with the ordinate in centimeters of mercury and absissa in hours. After plotting the curve, it was found that readings taken at 20-minute inter- vals would be sufficient for plotting accurate curves. The initial set occurred at approximately one and one-quarter hours after mixing and the final set came about ten hours after mixing. The curve, during these hours, definitely shows a presence of stress and also gives its rate of increase and when it occurred. DATA EXP. KO. 1 - STANDARD PORTLAND CEXEIT - 2-INCH SLEEP Time (hr:min) Reading (cm.hg) Corr. Reading Interval Initial 1.500 2.20 -1050 005 2:00 5.45 1.75 5.25 2:45 6.80 5.10 1.55 5:00 7.65 5.95 .85 5:10 8.10 4.40 .45 5:20 8.70 5.00 .60 5:50 9.10 5.40 .40 5:50 10.50 6.80 .70 4:00 11.00 7.50 .50 4:20 12.50 8.80 1.50 4:40 14.50 10.60 1.80 5:00 16.50 12.80 2.20 5:20 19.00 15.50 2.50 5:40 21.60 17.90 2.60 6:00 24.55 20.65 2.75 6:20 27.15 25.45 2.80 6:40 29.50 25.80 2.55 7:00 51.50 27.80 2.00 7:20 55.40 29.70 2.90 7:40 55.65 51.95 2.25 8:00 59.50 55.60 5.60 8:20 42.65 58.95 5.55 8:40 45.95 42.25 5.55 9:00 48.90 45.20 2.95 9:20 51.60 47.90 2.70 9:40 55.95 50.25 2.55 10:00 55.80 52.10 1.85 10:20 57.60 55.90 1.80 10:40 59.15 55.45 1.55 11:00 60.55 56.85 1.40 11:20‘ 61.70 58.00 1.15 11:40 62.90 59.20 1.20 2:00 65.50 59.80 .60 24:00 69.50 65.60 -10.. Correction - 50 cm. water 3 5.7 cm..Hg. 22$- est. 2 .2 \\ S a .n a. w. .424 . pj a. e e, ‘ I ._ _-4 p..._n .4 r. _. . A . I ,_ y—.— 4H4- r \_ ,_._ ,_ —~~«-4p—«._.4 _ r >.. ny—W_ | .nlLllI. Yvo}. .II 5.. ,5 . y ,lll! . . ‘_. (II. I... inst 1. II Yl|1 . _ , I....u 1! IF _ .. vixwl 1 g H I; ,1} ._ ,.. iii] . . I. -. . . -1.» . , ii . i y ti“. ,. _; Wm: - . . _ i _ __ . __ .1 . H .. .. . v . ,1. , \ , . l. H, . 4 l L}- f 1:» .i. .,_ 2.. if. , .110... m9.“ 1 _ 1 .¢(_ , . , a . .3 . .m _ . , . _ _ _ . 1 . .1 .. : 3... ., . _ w. :i M . . . exigaueuufi .4 , _ _ , , V . e If). . .. .. . . . . q. . .. m . , .. .. H . ..a . ,. .:... . 1,, . .. II. I i... 44 .. . . ill! 41.. llallalrllltlileii .. Lt , . . . . i M . ‘a ..v.h \ all; Experiment No. 2 - Standard Portland Cement - 8" The second experiment was run on Standard Portland cement with an S-inch slump. This was chosen to see if the amount of water present would affect the stress. A new porcelain cup was prepared and soaked 24 hours in advance and the test apparatus set up. Two test cylin- ders were prepared using the following quantities: Water 4.9 lb. Cement 9.0 lb. Fine Aggregate 21 lb. Coarse Aggregate 56 lb. W/C .54 Slump 8 inches The equipment was readied and the cup buried half way down in one of the test cylinders. Readings were taken every 20 minutes up to about 4 hours after mixing. Then a leak developed at one of the joints of the "Y" and the test was no good. The cup was dug out of the concrete, cleaned, tested, and set to soak again. Another batch of concrete was mixed the following day, conforming to the above specifications and the test started again. his time, it was successful and a curve was obtained which was very similar to that in eXperiment No. l. The curves had to be corrected because the cup level was below the mercury “0“ mark approximately 52 centimeters, giving a head on the cup or positive pressure of 2.4 cm. of mercury. - 12 - DATA EXP. N0. 2 - STANDARD PORTLAND CEKENT - 8-INCH SLUMP Time (hr:min) Reading (cm.hg) Corr. Reading Interval Initial 0:00 1.00 -l.40 reading, :20 1.40 -1.00 0.40 :40 2.10 ~0.50 .70 1:00 2.90 0.50 .80 1:20 5.70 1.50 .80 1:40 4.50 2.10 .80 2:00 5.50 2.90 .80 2:20 6.10 5.70 .80 2:40 7.00 4.60 .90 5:00 8.10 5.70 1.10 5:20 9.60 7.20 1.50 5:40 11.20 8.80 1.60 4:00 5.10 10.70 1.90 4:20 15.15 12.75 2.05 4:40 17.80 15.40 2.65 5:00 20.70 18.50 2.90 5:20 24.10 21.70 5.40 5:40 27.80 25.40 5.70 6:00 50.60 28.20 2.80 6:20 55.50 51.10 2.90 6:40 56.50 55.90 2.80 7:00 41.70 59.50 2.60 7:20 44.50 41.90 2.60 7:40 47.20 44.80 2.90 8:00 49.50 46.90 2.10 8:20 51.60 49.20 2.50 8:40 55.70 51.50 2.10 9:00 55.50 55.10 1.80 9:20 57.10 54.70 1.60 9:40 58.80 56.40 1.70 10:00 60.10 57.60 1.20 10:20 61.40 58.90 1.50 62.50 60.00 1.10 65.40 60.90 0-90 68.50 66.10 -13... Correction = 54 cm. H20 or = 2-4 cm. H8. . WRfiOI c Nzrh . .4 .0 .3 I. 23.2.. I. \L . 1 N .5 Ca 1 \ .3cifucu Experiment No. 5 - High Early Strength - 2-1/2“ The third eXperiment was run on High Early Strength cement with a 2-1/2 inch slump. A porcelain cup was pre- pared and soaked for 24 hours. Then the equipment was set up and the mix prepared with the following quantities: hater 4.1 1b.. Cement 9.0 lb. Fine Aggregate 20 1b. Coarse Aggregate 59 lb. W/C .455 Slump 2% inches wo test cylinders were filled and tamped. The cup was buried in one and the experiment started. Two fail- ures occurred due to air leaking in but the third attempt proved successful and a curve was obtained. The porcelain cup was usable after both failures because they occurred 2 hours and 5 hours reSpectively after mixing and the con- crete was not sufficiently hardened to prevent recovery. The cup was tested and soaked each time to make certain that the next test would be valid. After the experiment, the cylinders were removed to the moist room for curing and the 7-day test. 1232.4 EXP. Ho. 3 - HIGH EARLY STRENGTH CELENT - ayelrmw sum} Time (hr:min) Reading (cm.hg) Corr..Reading Interval -16... Initial 0:00 0.50 -1.90 reading. :20 0070 “1070 0020 :40 0.90 -1.50 .20 1:00 1030 -1.10 040 1:20 2:00 -0.40 .70 1:40 2.60 0.20 .60 2:00 2.85 0.45 .25 2:20 5.40 1.00 .55 2:40 5.70 1.50 .50 5:00 5.20 2.80 1.50 5:20 6.80 4.40 1.60 5:40 9.00 6.60 2.20 4:00 11.70 9.50 2.70 4:20 15.80 15.40 4.10 4:40 20.90 18.50 5.10 5:00 26.50 25.90 5.40 5:20 51.90 29.50 5.60 5:40 57.70 55.50 5.80 6:00 45.80 41.40 6.10 6:20 50.00 47.60 6.20 6:40 55.80 55.40 5.80 7:00 60.00 57.60 4.20 7:20 65.10 60.70 5.10 7:40 65.40 65.00 2.50 8:00 66.50 64.10 1.10 8:20 67.20 64.80 0.70 8:40 67.75 65.55 .55 9:00 68.05 65.65 .50 9:20 68.25 65.85 .20 9:40 68.55 65.95 .10 10:00 68.45 66.05 .10 Correction 3 cm. mercury fix Vh\\n\: I. u:~lhi Q s _IIIII -. 1 I . a _ .1 . 114111 . 4 1 . I .11....” 1 . h a F. 1 1 _ . . fl _ 1 u 1 1 .1 1 1 1 _ m 1 1 11 _ 11 H . n 1 . 1 u . .. _. 1 1 . M . . I I . P .> 1 H h r. r . 1 . L I11r 1 r - 1.. J 4 4 4 4 4 _ . H 1.1 «WI 4. . ° 1 , u . 1 1 _ . 1Q \ 1m 1. . H 1 . 1. . 11 :\ . 1 1 I. 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MU 0‘ . ggperiment No. 4 - High EarleStrength - 8-1/2" .\ High Early Strength concrete with an 8-1/2 inch slump was used for the fourth experiment. The same procedure was followed as before, using the following quantities: Water 5. lb. Cement 9.1 lb. Fine Aggregate 21 lb. Coarse Aggregate 56 lb. W/C .55 Slump 8% inches The first trial was successful and, to insure against any air getting into the system through the concrete, the cylinder was sealed in paraffin. Readings were taken every 20 minutes up to final set and the curve plotted. The cyl- inders were put in the moist room and the equipment dis- assembled. Following is a diagram of the eXperimental equipment and how it was used. - lg - DATA EXP. N0. 4 - HIGH EARLY SQREHGTH CEKEKT - 8-1/2-INCH SLUEP Time (hrzmin) Reading (cm.ig) Corr..Reading Interval Initial 0:00 1.00 -1.4 reading :20 1.10 -1.3 0.70 :40 1050 -lol 02 1:00 1.60 “008 030 1:20 1.90 -0.5 .30 1:40 2.10 “003 020 2:00 2.30 -0.1 .20 2:20 2.40 0 .70 2:40 2.50 0.10 .20 3:00 2.80 0.40 .30 3:20 3.60 1.20 .80 3:40 4.80 2.40 1.20 4:00 6.3 3.90 1.50 4:20 7.60 5.20 1.30 4:40 9.40 7.00 1.80 5:00 11.60 9.20 2.20 5:20 14.60 12.20 3.00 5:40 17.90 15.50 3.30 6:00 21.40 19.00 3.50 6:20 24.90 22.50 3.50 6:40 28.70 26.30 3.80 7:00 32.40 30.00 3.70 7:20 35.80 33.40 3.40 7:40 39.50 37.10 3.70 8:00 43.30 40.90 3.80 8:40 50.60 48.20 3.70 9:00 53.90 51.50 3.30 9:20 57.20 54.80 3.30 9:40 60.40 58.00 3.20 10:00 62.90 60.50 2.50 10:20 64.70 62.30 1.80 10:40 66.00 63.60 1.30 11:00 66.80 64.40 .80 Correction = 2.4 cm. mercury -19.. fix 3.591 - msE \ . w 1-1-. .. . .. _ :1 1 .1 1 .. . 1 .1 . 1 a 1-1 1..----.-.11 .1 1 . 1.1.-.1-1-_ .9. . .- - _ . — 1 - 1 1 . . 1 . 1 . 1 . .1 W h 1 1 1 1 1 _ 1 . 1 _ 1 M _ .4 11 ~11? 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Clam p P103776 Tub/n} 7 £ 1 g' 75 Cup III/III I17 -23.. 0 '. o . 5 0 “ Force/am - _ '9 CUP " | . 0 . - 0 0 Caner-4:72 0 . ‘ .. .. 7é37‘ Cylinder - . _ . o ., . &‘ Z . Waflp / I I I T I I RESULTS The testing equipment was found to function prOperly up to the time of final set of the concrete, after which air seeped into the system from Within the concrete, making the readings erroneous. The negative pressure pulling the water into the concrete was great so that the system even- tually tried to equalize this negative pressure by replacing the used water with air diffusing back through the porce- lain. This phenomenon uas very evident by air bubbles appearing in the plastic tubing coming from the cup buried in the concrete. By 24 hours after the beginning of the test, the plastic tube was completely filled with air and a final reading of approximately 62 centimeters of mercury was observed, as shown on the graphs. This phenomenon caused the curve to slope off, also making the upper part of the curve useless. A line tangent to the largest slope was drawn and extended on up, giving the greatest increase in stress per unit of time occurring within the specified concrete between the initial and final set. EXperiment No. l The Standard Portland cement with a 2-inch slump gave the following results: Kax. stress at final set 50 cm. or 9.67 psi. Kax. stress increase (slope) 8.5 cm/hr. or 1.64 psi/hr. Experiment No. 2 Standard Portland cement with an 8-inch slump gave a curve with a hump in the middle, so two tangent lines were drawn. Actually, the second (the one of least slope) is more likely to be the most accurate one due to more water which, theoretically, slows up stress development. The results are as follows: Max. stress at final set 48 cm. or 9.5 psi. (a) Hex. stress increase (slope) 10.5 cm/hr. or 2.05 psi/hr.. (b) Kax. stress increase (slope) 7.0 cm/hr. or 1.55 psi/hr. Experiment No..5 High Early Strength cement with a slump of 2-1/2 inches showed a very marked increase in the rate of stress develop- ment. Actually, it was eXpected because of the shorter time of final set and high early strength developed. The results are as follows: Kax. stress at final set 55.5 cm. or 10.75 psi. Kax. stress increase 18.5 cm/hr.or 5.58 psi/hr.. Experiment No. 4 High Early Strength cement with a slump of 8-1/2 inches showed, definitely, the retarding effect of an excess of water on the ate of stress development and the time of final set. The results are as follows: Max. stress at final set 55.5 cm. or 10.55 psi.. Eax. stress increase 11.0 cm/hro or 2.15 psi/hr. The concrete mixes used in this experiment were taken from a set of mixes which had been previously tested and had -25.. strength curves for each mix. This was done so that the test cylinders on this experiment could be tested after 14 days curing and the results correlated with the 28-day strength, thus giving the strength of the concrete. The strength of concrete, as found by the 14-day test and using the original curves of the mixes, were as follows: .Elflé Slpmp Streggth Standard Portland Cement 2-inch 5,800 psi. High Early Strength Cement 2% inch 4,000 psi. Standard Portland Cement 8-inch 2,900 psi. High Early Strength Cement 8% inch 5,000 psi. - 26 _ CONCLUSION The results of this thesis problem have proved, definitely, the existence of an internal stress developing from the time of initial set. The measure of this internal stress was successful up to the point of final set, which covers the problem set up in this thesis. The rate at which this stress develOped was established for the types of cnncrete tested, also the retarding effect of a higher water content on the stress development inside the specimens. The internal stress was shown to develop quite rapidly after the first few hours and indicates a definite reason for cracks forming before final set of the concrete. The rate of development was eSpecially high in the High Early Strength cement as was expected, bearing out the theory used in this thesis. A retarding effect or slowing up of the rate of devel- "opment of this stress was noted by the use of a higher water-cement ratio in the mix. This effect was eSpecially evident in the High Early Strength cement where not only the rate of development of stress but also the time of final set was retarded. This higher water-cement ratio did not, however, have much effect on the stresses at the time of final set, which are all between 45 and 55 centimeters of mercury. The first four graphs were plotted in centi- meters of mercury, while the fifth, a comparison graph, was plotted in pounds-per-square inch and hours. -27,- The type of equipment used in this problem proved sufficient up to the time of final set, after which it gave erroneous readings due to air leaking in. It is believed that for experimentation from final set and beyond, the principle of the first two ideas expressed in the pro- cedure might give results. This thesis has covered a problem of experimentation and research which, it is hoped, will help in the steps of understanding and improving the disadvantages of stress development which cause cracking and small failures during the initial stage of concrete aging- ~28 - BIBLIOGRAPHY Carlson, R.W. "Chemistry and Physics of Concrete Shri kage" ASTM Proceedings, Vol. xxxv, p. 560, 1955.. - Rickett, G., "Shrinkage Stresses in Concrete“, AC1 Bul- letin II, march, 1946.. - Swayze, E. A., "Early Volume Changes and Their Control“, ACI Proceedings, pg. 425, April, 1942. - Concrete Manual, U» S. Dep't. of the Interior, Bureau of Reclamation, 4th Edition, 1942. Kurphy, "Properties of Engineering Katerials", 2nd Edition, 1948.. i - 29—- IN, 1; HICHIGRN STQTE UNIV. LIBRQRIES III II III" 31293015913803